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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 619 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  2. 2.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  3. 3.One number is 3 times another. Their difference is 14. What is the smaller number?
  4. 4.One number is 3 times another. Their difference is 78. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  8. 8.The sum of two numbers is 103 and their difference is 35. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 96. What is the smallest of them?
  10. 10.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 32. What is the smaller number?
  12. 12.The sum of 3 consecutive numbers is 93. What is the largest of them?
  13. 13.One number is 6 times another. Their difference is 95. What is the smaller number?
  14. 14.The sum of two numbers is 51 and their difference is 19. What is the smaller number?
  15. 15.The sum of 3 consecutive numbers is 69. What is the largest of them?
  16. 16.One number is 5 times another. Their difference is 152. What is the smaller number?
  17. 17.The sum of two numbers is 104 and their difference is 2. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 48. What is the largest of them?
  20. 20.The sum of 4 consecutive numbers is 122. What is the largest of them?
  21. 21.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  22. 22.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.The sum of 5 consecutive numbers is 45. What is the largest of them?
  24. 24.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  25. 25.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  26. 26.One number is 5 times another. Their difference is 132. What is the smaller number?
  27. 27.The sum of two numbers is 136 and their difference is 6. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 144. What is the largest of them?
  29. 29.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  30. 30.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  32. 32.The sum of 3 consecutive numbers is 180. What is the largest of them?
  33. 33.One number is 4 times another. Their difference is 57. What is the smaller number?
  34. 34.One number is 2 times another. Their difference is 30. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  39. 39.One number is 4 times another. Their difference is 117. What is the smaller number?
  40. 40.One number is 5 times another. Their difference is 116. What is the smaller number?

Answer key

  1. 13
  2. 49
  3. 7
  4. 39
  5. 37
  6. 35
  7. 30
  8. 34
  9. 31
  10. 8
  11. 16
  12. 32
  13. 19
  14. 16
  15. 24
  16. 38
  17. 51
  18. 39
  19. 17
  20. 32
  21. 36
  22. 35
  23. 11
  24. 23
  25. 67
  26. 33
  27. 65
  28. 39
  29. 60
  30. 12
  31. 49
  32. 61
  33. 19
  34. 30
  35. 41
  36. 45
  37. 21
  38. 40
  39. 39
  40. 29

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